Find the inverse of y = 2x+1/ x-1

the aim of finsing the inverse is making x the subject. To start we need to multiply both sides by: (x-1), giving us:

y(x-1) = 2x+1

now we need to expand the brackets:

yx - y = 2x+1

now gather all the x components on the same side:

yx-2x = 1+y

now factorise the left hand side:

x(y-2) = 1+y

now make x the subject, giving us:

x = 1+y/ y-2

therefore, the inverse is written in terms of x, which gives us:

f(x)^-1 = 1+y/y-2

Amelia S. GCSE Maths tutor, A Level Maths tutor, GCSE Further Mathema...

1 year ago

Answered by Amelia, a GCSE Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£20 /hr

Lucy S.

Degree: Chemistry (Masters) - Durham University

Subjects offered:Maths, Chemistry


“Reading Chemistry at Durham University with expertise in Chemistry and Mathematics (A*A*) at GCSE/A-level”

£18 /hr

Dan W.

Degree: Economics and Accounting (Bachelors) - Bristol University

Subjects offered:Maths, Economics


“I achieved top grades whilst juggling cricket at a high level. I’ve tutored for Young Einstein Tuition & been a Peer Mentor to those facing personal issues”

£20 /hr

Ana S.

Degree: Physics (Bachelors) - Oxford, Balliol College University

Subjects offered:Maths, Physics+ 3 more

-Oxbridge Preparation-

“A friendly and understanding tutor with three years experience in school clubs, summer camps and private tutoring.”

About the author

PremiumAmelia S. GCSE Maths tutor, A Level Maths tutor, GCSE Further Mathema...

Amelia S.

Currently unavailable: for regular students

Degree: Mathematics, Business and Finance (Masters) - Exeter University

Subjects offered:Maths, Further Mathematics

Further Mathematics

“About me:Hi there, my name's Amelia Smith and I'm currently at the University of Exeter studying Maths, Business and Finance. We all know how boring revising for exams can be, that's why I like to take a hands on fun approach that ke...”

You may also like...

Posts by Amelia

Describe a test to show that olive oil contains unsaturated compounds. Give the result of the test.

Explain why the National Grid includes step-up transformers.

Find the inverse of y = 2x+1/ x-1

Give a reason why sulfur dioxide and nitrogen oxides are produced in petrol engines.

Other GCSE Maths questions

How do I know the best way to solve a quadratic equation?

a) You area told that y is proportional to x2 and that when y = 75, x = 5. Find a formula for y in terms of x. y = x b) Find the value of y when x = 3. c) Find the value of x when y = 1200.

What is the difference between a histogram and a bar chart? How can I find the frequency density?

Simplify fully (x^2*x^3)/x^4

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss